87815832 has 64 divisors (see below), whose sum is σ = 238140000. Its totient is φ = 26824704.

The previous prime is 87815831. The next prime is 87815873. The reversal of 87815832 is 23851878.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87815831) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45544 + ... + 47432.

Almost surely, 2^87815832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87815832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119070000).

87815832 is an abundant number, since it is smaller than the sum of its proper divisors (150324168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

87815832 is a wasteful number, since it uses less digits than its factorization.

87815832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2060 (or 2056 counting only the distinct ones).

The product of its digits is 107520, while the sum is 42.

The square root of 87815832 is about 9371.0101910093. The cubic root of 87815832 is about 444.4855090020.

The spelling of 87815832 in words is "eighty-seven million, eight hundred fifteen thousand, eight hundred thirty-two".